In trying to construct the phasor diagram for the attached circuit, I am unsure (with regards to the RC circuit) whether I can calculate the combined impedence of the 10K resistor and the 100nF capacitor by simple addition, or by vector addition on a phasor diagram.

In trying to construct the phasor diagram for the attached circuit, I am unsure (with regards to the RC circuit) whether I can calculate the combined impedence of the 10K resistor and the 100nF capacitor by simple addition, or by vector addition on a phasor diagram.

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You will not be able to just add the resistance and impedance because the resistance and capacitive reactance are orthogonal to each other - therefore you will need to construct a phasor diagram and use a little trig calculate the value of the vector.